Biological experimental demonstration of bifurcations from bursting to spiking predicted by theoretical models

Pacemaker dynamics in the full Morris–Lecar model

(2014) J.M. González-Miranda   Communications in Nonlinear Science and Numerical Simulation

Experimental observation of transition from chaotic bursting to chaotic spiking in a neural pacemaker

(2013) Huaguang Gu   CHAOS

Biological Experimental Observations of an Unnoticed Chaos as Simulated by the Hindmarsh-Rose Model

(2013) Huaguang Gu   PLoS One

Period adding cascades: Experiment and modeling in air bubbling

(2012) Felipe Augusto Cardoso Pereira et al.   CHAOS

Impulsive pinning complex dynamical networks and applications to firing neuronal synchronization

(2012) Jin Zhou et al.   NONLINEAR DYNAMICS

Experimental realizations of the HR neuron model with programmable hardware and synchronization applications

(2012) Nimet Dahasert et al.   NONLINEAR DYNAMICS

Codimension-Two Homoclinic Bifurcations Underlying Spike Adding in the Hindmarsh--Rose Burster

(2012) Daniele Linaro et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Noise-induced precursors of tonic-to-bursting transitions in hypothalamic neurons and in a conductance-based model

(2011) Hans A. Braun et al.   CHAOS

Dynamics of period-doubling bifurcation to chaos in the spontaneous neural firing patterns

(2011) Bing Jia et al.   Cognitive Neurodynamics

Potassium Channels as a Potential Therapeutic Target for Trigeminal Neuropathic and Inflammatory Pain

(2011) Mamoru Takeda et al.   Molecular Pain

Dynamics of a neuron model in different two-dimensional parameter-spaces

(2011) Paulo C. Rech   PHYSICS LETTERS A

Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model

(2011) Roberto Barrio et al.   Journal of Mathematical Neuroscience

Interpreting a period-adding bifurcation scenario in neural bursting patterns using border-collision bifurcation in a discontinuous map of a slow control variable

(2010) Mo Juan et al.   Chinese Physics B

Experimental bifurcation diagram of a circuit-implemented neuron model

(2010) D. Linaro et al.   PHYSICS LETTERS A

On the dynamics of chaotic spiking-bursting transition in the Hindmarsh–Rose neuron

(2009) G. Innocenti et al.   CHAOS

IDENTIFYING DISTINCT STOCHASTIC DYNAMICS FROM CHAOS: A STUDY ON MULTIMODAL NEURAL FIRING PATTERNS

(2009) MINGHAO YANG et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

Variability of bursting patterns in a neuron model in the presence of noise

(2009) Paul Channell et al.   JOURNAL OF COMPUTATIONAL NEUROSCIENCE

Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities: experiments and analysis

(2008) Qishao Lu et al.   ACTA MECHANICA SINICA

Predicting single spikes and spike patterns with the Hindmarsh–Rose model

(2008) Enno de Lange et al.   BIOLOGICAL CYBERNETICS

The Hindmarsh–Rose neuron model: Bifurcation analysis and piecewise-linear approximations

(2008) Marco Storace et al.   CHAOS

METHODS OF THE QUALITATIVE THEORY FOR THE HINDMARSH–ROSE MODEL: A CASE STUDY – A TUTORIAL

(2008) ANDREY SHILNIKOV et al.   INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS